Jun 05 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R6C5 can only be <1>
R6C6 can only be <9>
R4C5 can only be <6>
R4C2 can only be <7>
R4C1 can only be <3>
R4C4 can only be <8>
R6C2 can only be <5>
R5C6 can only be <2>
R5C4 can only be <7>
R6C8 can only be <3>
R6C9 can only be <7>
R4C8 can only be <1>
R3C9 is the only square in row 3 that can be <3>
R3C7 is the only square in row 3 that can be <7>
R3C4 is the only square in row 3 that can be <1>
R1C7 is the only square in row 1 that can be <1>
R7C1 is the only square in row 7 that can be <7>
R8C3 is the only square in row 8 that can be <3>
R7C6 is the only square in row 7 that can be <3>
R3C3 is the only square in column 3 that can be <5>
R7C4 is the only square in column 4 that can be <5>
R3C6 is the only square in column 6 that can be <8>
Squares R2C9 and R8C9 in column 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <56>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R7C9 - removing <6> from <169> leaving <19>
R9C9 - removing <6> from <169> leaving <19>
Squares R7C9 and R9C9 in block 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C8 - removing <9> from <2689> leaving <268>
Intersection of column 1 with block 1. The values <49> only appears in one or more of squares R1C1, R2C1 and R3C1 of column 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain these values.
R2C2 - removing <4> from <2468> leaving <268>
R3C2 - removing <49> from <2469> leaving <26>
Intersection of column 3 with block 7. The value <2> only appears in one or more of squares R7C3, R8C3 and R9C3 of column 3. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R7C2 - removing <2> from <124689> leaving <14689>
R8C2 - removing <2> from <268> leaving <68>
R9C2 - removing <2> from <12469> leaving <1469>
R8C8 is the only square in row 8 that can be <2>
R7C7 can only be <8>
R7C8 can only be <6>
R5C7 can only be <5>
R8C9 can only be <5>
R2C9 can only be <6>
R5C8 can only be <8>
R2C7 can only be <2>
R2C2 can only be <8>
R2C1 can only be <4>
R8C2 can only be <6>
R8C1 can only be <8>
R3C2 can only be <2>
R5C2 can only be <9>
R2C8 can only be <5>
R3C5 can only be <4>
R3C8 can only be <9>
R7C5 can only be <2>
R1C6 can only be <6>
R3C1 can only be <6>
R1C8 can only be <4>
R5C3 can only be <6>
R7C3 can only be <9>
R9C4 can only be <6>
R9C6 can only be <4>
R1C4 can only be <2>
R9C2 can only be <1>
R1C1 can only be <9>
R7C9 can only be <1>
R9C3 can only be <2>
R7C2 can only be <4>
R9C9 can only be <9>
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